Graham Greene (1952 - )Not to be confused with the British novelist Graham Greene

Clearcut(1991) [Arthur]: Drowned after being stabbed in the chest with his own knife by Ron Lea. (Thanks to ND)

Benefit of the Doubt(1993) [Sheriff Calhoun]: Neck snapped when Donald Sutherland steps on his throat at the end of a fight in the desert.

Sabotage(1996) [Tollander]: Shot in the head by Mark Dacascos when Graham tries to kill Mark and Carrie-Anne Moss by the roadside. (Thanks to Matt)

The Green Mile(1999) [Arlen Bitterbuck]: Executed in the electric chair.

New Moon (The Twilight Saga: New Moon) (2009) [Harry Clearwater]: Dies of a heart attack after being attacked by Rachelle Lefevre; his death is confirmed when Taylor Lautner informs Kristen Stewart. (Thanks to Tommy)